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Convexity of the class of currents with finite relative energy

Volume 128 / 2022

Duc-Viet Vu Annales Polonici Mathematici 128 (2022), 275-288 MSC: Primary 32U15. DOI: 10.4064/ap210930-24-3 Published online: 30 May 2022

Abstract

We prove the convexity of the class of currents with finite relative energy. A key ingredient is an integration by parts formula for relative non-pluripolar products which is of independent interest.

Authors

  • Duc-Viet VuMathematics Division
    Department of Mathematics and Computer Science
    University of Cologne
    Weyertal 86-90
    50931 Köln, Germany
    e-mail

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